Valence-bond theory of highly disordered quantum antiferromagnets

Abstract

We present a large-N variational approach to describe the magnetism of insulating doped semiconductors based on a disorder-generalization of the resonating-valence-bond theory for quantum antiferromagnets. This method captures all the qualitative and even quantitative predictions of the strong-disorder renormalization group approach over the entire experimentally relevant temperature range. Finally, by mapping the problem on a hard-sphere fluid, we could provide an essentially exact analytic solution without any adjustable parameters.

5 pages, 3 eps figures

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Cited by in corpus (6)

• Strong Disorder RG approach - a short review of recent developments
• Strong-disorder renormalization-group study of the one-dimensional tight-binding model
• Random singlet-like phase of disordered Hubbard chains
• Coherent cellular dynamical mean-field theory: a real-space quantum embedding approach to disorder in strongly correlated electron systems
• Strong Disorder Renormalization Group Method for Bond Disordered Antiferromagnetic Quantum Spin Chains with Long Range Interactions: Ground State Properties
• Disorder, Low-Energy Excitations, and Topology in the Kitaev Spin Liquid